Upper-bound anisotropic yield locus calculations assuming 〈111〉-pencil glide
Roger W Logan,William F. Hosford +1 more
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TLDR
In this paper, an upper-bound model which combines a least-shear analysis and Piehler's maximum virtual work analysis was proposed to determine axisymmetric deformation.About:
This article is published in International Journal of Mechanical Sciences.The article was published on 1980-01-01 and is currently open access. It has received 373 citations till now. The article focuses on the topics: Rotational symmetry & Yield (engineering).read more
Citations
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Rate and temperature dependent plasticity and failure of AA7017-T73: experiments and modelling
TL;DR: In this article, a series of tensile tests on uniaxial specimens machined from different orientations with respect to the rolling direction was carried out at a wide range of loading rates for an aluminium 7017-T73 alloy.
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Plastic Anisotropy and Formability of Aluminum Alloy Sheets. Anisotropic yield functions for sheet metals.
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Geometrical foundations of plasticity yield criteria: A unified theory
Abstract: A new model for elucidating the mathematical foundation of plasticity yield criteria is proposed. The proposed ansatz uses differential geometry and group theory concepts in addition to elementary hypotheses based on well-established experimental evidence. Its theoretical development involves the analysis of tensor functions and provides a series expansion which allows the functional stress-dependence of plasticity yield criteria to be predicted. The theoretical framework for the model includes a series of spatial coefficients that provide a more flexible theory for in-depth examination of symmetry and anisotropy in compact solid materials. It describes the classical yield criteria (like those of Tresca, Von Mises, Hosford, Hill, etc) and accurately describes the anomalous behaviour of metals such as aluminium, which was elucidated by Hill (1979). Further, absolutely new instances of stress-dependence are predicted; this makes it highly useful for fitting experimental data with a view to studying the phenomena behind plasticity.
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Diffuse instability of anisotropic inelastic plates by J2 and QRI models
TL;DR: In this paper, an incremental quasi rate-independent (QRI) form obtained by the endochronic concept of thermodynamic time is applied to metal forming of orthotropic austenitic steel plates.
References
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Journal ArticleDOI
XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses.
J.F.W. Bishop,Rodney Hill +1 more
TL;DR: In this paper, a general relationship between stress and plastic strain in polycrystalline aggregate is derived for any metal in which individual crystals deform by slipping over preferred planes under a critical shear stress.
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CXXVIII. A theoretical derivation of the plastic properties of a polycrystalline face-centred metal
J.F.W. Bishop,Rodney Hill +1 more
TL;DR: In this paper, it was shown that the work-hardness of an isotropic aggregate of face-centred cubic crystals is a function only of the total plastic work if the grains hardened equally.
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Calculation of the taylor factor and lattice rotations for bcc metals deforming by pencil glide
J. M. Rosenberg,H. R. Piehler +1 more
TL;DR: In this article, the Taylor factor and the corresponding lattice rotations for tension or compression have been computed for grains of various orientations postulated to slip on arbitrary planes in 〈111〉 directions.
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The anomalous behaviour of aluminium sheet under balanced biaxial tension
John Woodthorpe,Roger Pearce +1 more
TL;DR: In this paper, the authors investigated the anomalous behavior of aluminium in uniaxial and biaxiaial tension and showed that anisotropic plasticity theory does not hold for all metals.
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Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions
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